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Finding the Fourth Proportional to 281.51, 387.78 and 234.87

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Solution

The fourth proportional to 281.51, 387.78 and 234.87 is: 323.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.51 : 387.78 = 234.87 : x
  2. Step 2: Convert to fraction form
    281.51/387.78 = 234.87/x
  3. Step 3: Cross multiply
    281.51x = 387.78 × 234.87
  4. Step 4: Simplify right side
    281.51x = 91,075.55
  5. Step 5: Solve for x
    x = 91,075.55/281.51
  6. Step 6: Final answer
    x = 323.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.